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Analysing and Evaluating Practical Results

Significant figures and reporting values

  • 3 things to know
  • Components 01, 02 and 03

Overview

Recall questions on counting significant figures in small and standard-form values, the rule for a calculated result, rounding practical data sensibly, and decimal places versus significant figures.

What you need to know

Answer each one before you reveal it.

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Key term

A rate is found by dividing 12.4 cm³ by 5.0 s. State the answer to an appropriate number of significant figures.

Key term

Three readings of 12, 13 and 14 are averaged. Explain why the mean should not be written as 13.000.

Key term

Explain why a percentage calculated from practical data should not be quoted to five decimal places.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    How many significant figures are there in the measurement 0.0250 g?

    Model answer

    There are three significant figures.

  2. 2

    How many significant figures are there in a value recorded as 1.2 × 10³?

    Model answer

    There are two significant figures, because standard form shows only the digits that were actually measured.

  3. 3

    State the rule governing the number of significant figures in a calculated result.

    Model answer

    The result is quoted to the same number of significant figures as the least precise measurement used in the calculation.

  4. 4

    A rate is found by dividing 12.4 cm³ by 5.0 s. State the answer to an appropriate number of significant figures.

    Model answer

    The rate is 2.5 cm³ s⁻¹, given to two significant figures.

  5. 5

    Round 0.048372 to two significant figures.

    Model answer

    It rounds to 0.048.

  6. 6

    Express 0.00047 mol dm⁻³ in standard form.

    Model answer

    It is 4.7 × 10⁻⁴ mol dm⁻³.

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